Suppose that work hours in New Zombie are 200 in year 1 and productivity is $8 per hour worked. What is New Zombies real GDP? If work hours increase to 210 in year 2 and productivity rises to $10 per hour, what is New Zombies rate of economic growth? Explain and show your work in detail.
Calculate New Zombie's real GDP for Year 1 and Year 2
To calculate New Zombie's real GDP for Year 1 and Year 2, we use the formula for GDP based on hours worked and productivity:
[
\text{Real GDP} = \text{Work Hours} \times \text{Productivity}
]
Step 1: Calculate Real GDP for Year 1
- Work Hours in Year 1: 200 hours
- Productivity in Year 1: $8 per hour
Now, we can calculate Year 1's real GDP:
[
\text{Real GDP in Year 1} = 200 , \text{hours} \times 8 , \text{dollars/hour} = 1,600 , \text{dollars}
]
Step 2: Calculate Real GDP for Year 2
- Work Hours in Year 2: 210 hours
- Productivity in Year 2: $10 per hour
Now, we can calculate Year 2's real GDP:
[
\text{Real GDP in Year 2} = 210 , \text{hours} \times 10 , \text{dollars/hour} = 2,100 , \text{dollars}
]
Step 3: Calculate the Rate of Economic Growth
The rate of economic growth can be calculated using the formula:
[
\text{Rate of Economic Growth} = \frac{\text{Real GDP in Year 2} - \text{Real GDP in Year 1}}{\text{Real GDP in Year 1}} \times 100
]
Now, substituting the real GDP values we calculated:
[
\text{Rate of Economic Growth} = \frac{2,100 - 1,600}{1,600} \times 100
]
Calculating the numerator:
[
\text{Rate of Economic Growth} = \frac{500}{1,600} \times 100
]
Calculating the fraction:
[
= 0.3125 \times 100 = 31.25
]
Summary of Results
- Real GDP in Year 1: $1,600
- Real GDP in Year 2: $2,100
- Rate of Economic Growth: 31.25%
Explanation of Results
- In Year 1, New Zombie had a real GDP of $1,600 based on its work hours and productivity.
- By Year 2, with an increase in both work hours and productivity, New Zombie's real GDP rose to $2,100.
- The economic growth rate of 31.25% indicates a substantial increase in economic activity and output from Year 1 to Year 2. This growth can be attributed to both an increase in the number of hours worked and an increase in productivity per hour worked.